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Simplifying 8(v + -4) + -3v = -7 Reorder the terms: 8(-4 + v) + -3v = -7 (-4 * 8 + v * 8) + -3v = -7 (-32 + 8v) + -3v = -7 Combine like terms: 8v + -3v = 5v -32 + 5v = -7 Solving -32 + 5v = -7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 5v = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 5v = -7 + 32 5v = -7 + 32 Combine like terms: -7 + 32 = 25 5v = 25 Divide each side by '5'. v = 5 Simplifying v = 5
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